Aims Grade 8 Mathematics Sample Test And Think-Throughs With Answers Page 24
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36December 2009
Students submitted pictures for the school yearbook. Only of the submitted pictures fit in
13
the yearbook. There were 105 pictures that did not fit. Approximately how many total
pictures were submitted for the yearbook?
105
A
210
B
420
C
500
D
The question asks me to find approximately how many total pictures were submitted for the
yearbook. Approximately means I will be estimating.
First, I look again at what I know.
• Students submitted pictures for the school yearbook.
• Only of the submitted pictures fit in the yearbook.
• There were 105 pictures that did not fit.
Next, I need to make sense of what I know. I know that of the pictures fit in the yearbook, but I
do not know how many pictures this is. It seems like this is important information. This is what
gives me the proportion amount so I can find the whole. Since I have
of the pictures in the
yearbook, it means that represents the whole, or the total pictures submitted.
I also know that there were 105 pictures that did not fit. So if
of the total fit, that means that
did not fit. And, I also see that 105 is the value for what did not fit. So, 105 represents
.
Since I am approximating, I will round 105 to 100. Now I can approximate the total. I can do this
with a model or with numbers.
100 100 100 100 100
1
4
5
5
1
represents 100 pictures and there are 5 in a whole.
5
100 • 5 is approximately 500 total pictures.
I found the estimate is about 500 total pictures, which is answer choice D.
Arizona Department of Education
24
Grade 8
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